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144418656 = 2532365407
BaseRepresentation
bin10001001101110…
…10011101100000
3101001202020011010
420212322131200
5243432344111
622155220520
73402352434
oct1046723540
9331666133
10144418656
117457a968
1240447740
1323bc6635
14152749c4
15ca2aaa6
hex89ba760

144418656 has 48 divisors (see below), whose sum is σ = 395587584. Its totient is φ = 46045824.

The previous prime is 144418613. The next prime is 144418657. The reversal of 144418656 is 656814441.

144418656 is nontrivially palindromic in base 9.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144418657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30496 + ... + 34911.

It is an arithmetic number, because the mean of its divisors is an integer number (8241408).

Almost surely, 2144418656 is an apocalyptic number.

144418656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144418656 is an abundant number, since it is smaller than the sum of its proper divisors (251168928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144418656 is a wasteful number, since it uses less digits than its factorization.

144418656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65443 (or 65435 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 144418656 is about 12017.4313395168. The cubic root of 144418656 is about 524.6557452886.

It can be divided in two parts, 1444 and 18656, that added together give a triangular number (20100 = T200).

The spelling of 144418656 in words is "one hundred forty-four million, four hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 65407 130814 196221 261628 392442 523256 784884 1046512 1504361 1569768 2093024 3008722 3139536 4513083 6017444 6279072 9026166 12034888 18052332 24069776 36104664 48139552 72209328 144418656